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Simplifying z4 + 2z2 + -35 = 0 Reorder the terms: -35 + 2z2 + z4 = 0 Solving -35 + 2z2 + z4 = 0 Solving for variable 'z'. Factor a trinomial. (-7 + -1z2)(5 + -1z2) = 0Subproblem 1
Set the factor '(-7 + -1z2)' equal to zero and attempt to solve: Simplifying -7 + -1z2 = 0 Solving -7 + -1z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1z2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1z2 = 0 + 7 -1z2 = 0 + 7 Combine like terms: 0 + 7 = 7 -1z2 = 7 Divide each side by '-1'. z2 = -7 Simplifying z2 = -7 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + -1z2)' equal to zero and attempt to solve: Simplifying 5 + -1z2 = 0 Solving 5 + -1z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1z2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1z2 = 0 + -5 -1z2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1z2 = -5 Divide each side by '-1'. z2 = 5 Simplifying z2 = 5 Take the square root of each side: z = {-2.236067978, 2.236067978}Solution
z = {-2.236067978, 2.236067978}
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